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Finding the Fourth Proportional to 5,962.80, 8,226 and 3,603.54

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Solution

The fourth proportional to 5,962.80, 8,226 and 3,603.54 is: 4,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.80 : 8,226 = 3,603.54 : x
  2. Step 2: Convert to fraction form
    5,962.80/8,226 = 3,603.54/x
  3. Step 3: Cross multiply
    5,962.80x = 8,226 × 3,603.54
  4. Step 4: Simplify right side
    5,962.80x = 29,642,720.04
  5. Step 5: Solve for x
    x = 29,642,720.04/5,962.80
  6. Step 6: Final answer
    x = 4,971.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.